Moments of first hitting times for birth-death processes on trees

被引：2

作者：

Zhang, Yuhui ^{[1
]}

机构：

[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2019年 / 14卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Birth-death process on trees; ergodicity; hitting time; returning time; STRONG ERGODICITY; SPECTRAL GAP; MARKOV;

D O I：

10.1007/s11464-019-0784-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An explicit and recursive representation is presented for moments of the first hitting times of birth-death processes on trees. Based on that, the criteria on ergodicity, strong ergodicity, and l-ergodicity of the processes as well as a necessary condition for exponential ergodicity are obtained.

引用

页码：833 / 854

页数：22

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